7log10+ylog100=xlog10

xlog9-2ylog27=\frac{1}3log729

4log4+ylog16=xlog4

xlog16-2ylog64=\frac{1}2log256

log_{5}(x)-log_{5}(y)=1

log_{10}(2\cdot x)+log_{10}(y+198)=3+log_{10}(4)

4log2+ylog4=xlog2

xlog25-2ylog125=\frac{1}2log625

log_{9}(x+8)^{6}-log_3\nthroot{6}{x+8}=1

log_7(x+y)-log_7(y-3)=1

7^{x}=7^4\cdot49^{y}

log_{4}(x+3)^{8}-log_2\nthroot{5}{x+3}=1

log_{25}(x+4)^{2}-log_5\nthroot{6}{x+4}=1

3log6+ylog36=xlog6

xlog16-2ylog64=\frac{1}2log256

log_{49}(x+2)^{10}-log_7\nthroot{6}{x+2}=1

10log2+ylog4=xlog2

xlog4-2ylog8=\frac{1}6log4096

log_3(x+y)-log_3(y-7)=1

3^{x}=3^4\cdot27^{y}

log_7(x+y)-log_7(y-4)=1

7^{x}=7^1\cdot343^{y}

log_{3}(x)-log_{3}(y)=1

log_{3}(2\cdot x)+log_{3}(y+1)=2+log_{3}(4)

4log6+ylog36=xlog6

xlog25-2ylog125=\frac{1}5log9765625

log_{2}(x)-log_{2}(y)=2

log_{2}(3\cdot x)+log_{2}(y+3)=4+log_{2}(3)

log_{5}(x)-log_{5}(y)=3

log_{5}(2\cdot x)+log_{5}(y+23)=5+log_{5}(4)

log_5(x+y)-log_5(y-9)=1

5^{x}=5^5\cdot125^{y}

14log6+ylog36=xlog6

xlog4-2ylog8=\frac{1}4log256

11log2+ylog4=xlog2

xlog16-2ylog64=\frac{1}5log1048576

log_{25}(x+11)^{4}-log_5\nthroot{6}{x+11}=1

log_6(x+y)-log_6(y-10)=1

6^{x}=6^2\cdot36^{y}

log_{3}(x)-log_{3}(y)=3

log_{6}(4\cdot x)+log_{6}(y+46)=4+log_{6}(8)

log_6(x+y)-log_6(y-2)=1

6^{x}=6^1\cdot36^{y}